Data assimilation is a methodology to estimate weather or ocean variables by combining
(synchronizing) information from observational data with a numerical dynamical (forecast) …

We consider axisymmetric incompressible inviscid flows without swirl in $\mathbb {R}^ 3$,
under the assumption that the axial vorticity is non-positive in the upper half space and odd …

We consider the three-dimensional stochastic Leray-α model with homogeneous Dirichlet
boundary conditions and infinite-dimensional Wiener process. We first study the mean …

We study the limit as $\alpha\to 0 {+} $ of the long-time dynamics for various approximate
$\alpha $-models of a viscous incompressible fluid and their connection with the trajectory …

Изучаются пределы при α→ 0+ долговременной динамики различных приближенных α-
моделей вязкой несжимаемой жидкости и их связь с траекторным аттрактором точной …